THE ALGEBRAIC THEORY OF TEMPERED REPRESENTATIONS OF p-ADIC GROUPS I. PARABOLIC INDUCTION AND RESTRICTION

2006 ◽  
Vol 6 (04) ◽  
pp. 639 ◽  
Author(s):  
Peter Schneider ◽  
Ernst-Wilhelm Zink
Keyword(s):  
Algebraic Theory ◽  
Parabolic Induction

Affine algebraic sets relative to an algebraic theory

1999 ◽  
Vol 65 (1-2) ◽  
pp. 54-76 ◽  
Author(s):  
Yves Diers
Keyword(s):  
Algebraic Theory ◽  
Algebraic Sets

The Algebraic Theory of Semigroups, Vol. I

1964 ◽  
Vol 48 (363) ◽  
pp. 122
Author(s):  
W. D. Munn ◽  
A. H. Clifford ◽  
G. B. Preston
Keyword(s):  
Algebraic Theory

scholarly journals On Reducibility and Unitarizability for Classical p-Adic Groups, Some General Results

2009 ◽  
Vol 61 (2) ◽  
pp. 427-450 ◽  
Author(s):  
Marko Tadić
Keyword(s):  
Reductive Groups ◽  
Parabolic Induction

Abstract. The aim of this paper is to prove two general results on parabolic induction of classical p-adic groups (actually, one of them holds also in the archimedean case), and to obtain from them some consequences about irreducible unitarizable representations. One of these consequences is a reduction of the unitarizability problem for these groups. This reduction is similar to the reduction of the unitarizability problem to the case of real infinitesimal character for real reductive groups.

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